{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from ggplot import *\n",
    "%matplotlib inline\n",
    "import pandas as pd\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>pos</th>\n",
       "      <th>breeder</th>\n",
       "      <th>pigeon</th>\n",
       "      <th>name</th>\n",
       "      <th>color</th>\n",
       "      <th>sex</th>\n",
       "      <th>ent</th>\n",
       "      <th>arrival</th>\n",
       "      <th>speed</th>\n",
       "      <th>to_win</th>\n",
       "      <th>eligible</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>Texas Outlaws</td>\n",
       "      <td>19633-AU15-FOYS</td>\n",
       "      <td>NaN</td>\n",
       "      <td>BCWF</td>\n",
       "      <td>H</td>\n",
       "      <td>1</td>\n",
       "      <td>42:14.0</td>\n",
       "      <td>172.155</td>\n",
       "      <td>0:00:00</td>\n",
       "      <td>Yes</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>Junior Juanich</td>\n",
       "      <td>0402-AU15-JRL</td>\n",
       "      <td>NaN</td>\n",
       "      <td>SIWF</td>\n",
       "      <td>H</td>\n",
       "      <td>1</td>\n",
       "      <td>47:36.0</td>\n",
       "      <td>163.569</td>\n",
       "      <td>0:05:21</td>\n",
       "      <td>Yes</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>Jerry Allensworth</td>\n",
       "      <td>0404-AU15-VITA</td>\n",
       "      <td>Perch Potato</td>\n",
       "      <td>BB</td>\n",
       "      <td>H</td>\n",
       "      <td>1</td>\n",
       "      <td>47:41.0</td>\n",
       "      <td>163.442</td>\n",
       "      <td>0:05:27</td>\n",
       "      <td>Yes</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>Alias-Alias</td>\n",
       "      <td>2013-AU15-ALIA</td>\n",
       "      <td>NaN</td>\n",
       "      <td>BBSP</td>\n",
       "      <td>H</td>\n",
       "      <td>1</td>\n",
       "      <td>47:43.0</td>\n",
       "      <td>163.392</td>\n",
       "      <td>0:05:28</td>\n",
       "      <td>Yes</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>Greg Glazier</td>\n",
       "      <td>5749-AU15-SLI</td>\n",
       "      <td>NaN</td>\n",
       "      <td>BC</td>\n",
       "      <td>H</td>\n",
       "      <td>1</td>\n",
       "      <td>47:44.0</td>\n",
       "      <td>163.366</td>\n",
       "      <td>0:05:30</td>\n",
       "      <td>Yes</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   pos            breeder           pigeon          name color sex  ent  \\\n",
       "0    1      Texas Outlaws  19633-AU15-FOYS           NaN  BCWF   H    1   \n",
       "1    2     Junior Juanich    0402-AU15-JRL           NaN  SIWF   H    1   \n",
       "2    3  Jerry Allensworth   0404-AU15-VITA  Perch Potato    BB   H    1   \n",
       "3    4        Alias-Alias   2013-AU15-ALIA           NaN  BBSP   H    1   \n",
       "4    5       Greg Glazier    5749-AU15-SLI           NaN    BC   H    1   \n",
       "\n",
       "   arrival    speed   to_win eligible  \n",
       "0  42:14.0  172.155  0:00:00      Yes  \n",
       "1  47:36.0  163.569  0:05:21      Yes  \n",
       "2  47:41.0  163.442  0:05:27      Yes  \n",
       "3  47:43.0  163.392  0:05:28      Yes  \n",
       "4  47:44.0  163.366  0:05:30      Yes  "
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pigeons.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtsAAAH/CAYAAACGpREVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1130d6f10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (288454005)>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ggplot(pigeons, aes(x='pos', y='speed')) + geom_line()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtsAAAH/CAYAAACGpREVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113355dd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (288579529)>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ggplot(pigeons, aes(x='pos', y='speed')) + geom_step()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtsAAAH/CAYAAACGpREVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1150a24d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (290497257)>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ggplot(pigeons.head(25), aes(x='pos', y='speed')) + geom_step(direction='hv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtsAAAH/CAYAAACGpREVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ntgEAoBCxDQAAhYhtAAAo5P8DOKcemmX8SqIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112b23710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (293747037)>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ggplot(pigeons.head(25), aes(x='pos', y='speed')) + geom_step(direction='vh')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>x</th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>-1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>-2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>-1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>-2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>-1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   x  y\n",
       "0  0 -1\n",
       "1  1 -2\n",
       "2  2 -1\n",
       "3  3 -2\n",
       "4  4 -1"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random_walk = pd.DataFrame(dict(\n",
    "    x=np.arange(100),\n",
    "    y=np.random.choice([-1, 1], 100).cumsum()\n",
    "))\n",
    "random_walk.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtsAAAH/CAYAAACGpREVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nxGkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1150a2f90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (294112189)>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ggplot(random_walk, aes(x='x', y='y')) + geom_point()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtsAAAH/CAYAAACGpREVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nGwAAElG2AQAgEWUbAAAS+X8//QcAwNYiGAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11905e7d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (290513349)>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ggplot(random_walk, aes(x='x', y='y')) + geom_point() + geom_step()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtsAAAIACAYAAABTiaBEAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEGwDAAAALiHYBgAAAFxCsA0AAAC45P8DexmNngOnw60AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x119b08ad0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (295363765)>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ggplot(random_walk, aes(x='x', y='y')) + geom_line(color='coral') + geom_step(color='steelblue')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>project</th>\n",
       "      <th>x</th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Zalpha</td>\n",
       "      <td>0</td>\n",
       "      <td>-1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Alpha</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Zalpha</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Alpha</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Alpha</td>\n",
       "      <td>4</td>\n",
       "      <td>-1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  project  x  y\n",
       "0  Zalpha  0 -1\n",
       "1   Alpha  1  0\n",
       "2  Zalpha  2  1\n",
       "3   Alpha  3  0\n",
       "4   Alpha  4 -1"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random_walk = pd.DataFrame(dict(\n",
    "    x=np.arange(250),\n",
    "    y=np.random.choice([-1, 1], 250).cumsum(),\n",
    "    project=np.random.choice([\"Alpha\", \"Zalpha\"], 250)\n",
    "))\n",
    "random_walk.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtYAAAIACAYAAACmdyv0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xt0G/Wd//+XblhKJNV2LrSJS+hCagJhgTolCRBcx/kG\nWhxIuLS0QIBTaCE5ZTc/Cud3vtnuSS/5nd2w1BwWUro9p9s6S5oCS3qBUsIlcZIl6zRpuCQLgdKS\nsgkQg+1Ivkay9fsjkZBkSZbtjyXN+Pn4J9bMaOY98/aMXwwjfRyxWCwmAAAAAKPiLHYBAAAAgB0Q\nrAEAAAADCNYAAACAAQRrAAAAwACCNQAAAGAAwRoAAAAwwF3sAsZaY2OjvF6vHA6HnE6nvvGNbxS7\nJAAAANiQ7YO1w+HQLbfcIp/PV+xSAAAAYGPj4lEQxsABAADAWLP9HWtJampqktPpVE1NjWpqaopd\nDgAAAGzIYfchzcPhsAKBgLq6utTU1KQvfelLmjFjhkKhkDo7O1OW9fv9CgaDRaoUAAAAVmb7O9aB\nQECSNHHiRM2aNUuHDx/WjBkztHfvXjU3N6csW1tbq7q6umKUCQAAAIuzdbA+fvy4YrGYysrKdPz4\ncb399tuqra2VJNXU1Ki6ujpleb/fr/b2dkWj0WKUO6bKysrU19dX7DKMc7vdqqiosG3fJHpnZfTO\nuuidddm9dyhttg7WXV1d2rRpkxwOhwYGBnTuuefqzDPPlCQFg8GMj320trYqEokUutQx53a7bblf\ncdFo1Lb7R++si95ZF72zLrv3DqXN1sG6oqJCd955Z7HLAAAAwDgwLr5uDwAAABhrBGsAAADAAII1\nAAAAYADBGgAAADCAYA0AAAAYQLAGAAAADCBYAwAAAAYQrAEAAAADCNYAAACAAQRrAAAAwACCNQAA\nAGAAwRoAAAAwgGANAAAAGECwBgAAAAwgWAMAAAAGEKwBAAAAAwjWAAAAgAEEawAAAMAAgjUAAABg\nAMEaAAAAMIBgDQAAABhAsAYAAAAMIFgDAAAABhCsAQAAAAMcsVgsVuwiSkVvb696e3tlx0PidDo1\nMDBQ7DKMczgcOuWUU3T8+HFb9k2id1ZG76yL3lmXnXtXXl5e7DIwBHexCyglXq9X4XBYkUik2KUY\n5/P51NPTU+wyjPN4PCovL1dXV5ct+ybROyujd9ZF76zLzr1D6eNREAAAAMAAgjUAAABgAMEaAAAA\nMIBgDQAAABhAsAYAAAAMIFgDAAAABhCsAQAAAAMI1gAAAIABBGsAAADAAII1AAAAYADBGgAAADCA\nYA0AAAAYQLAGAAAADCBYAwAAAAYQrAEAAAAD3MUuoJTdtHuPOvv7M87zu1zacOGcAlcEAACAUkWw\nzqGzv1+b58/NOG/ZrpYCVwMAAIBSxqMgAAAAgAEEawAAAMAAgjUAAABgAMEaAAAAMMD2H1586623\n9Pvf/16xWEyf+9zndMkllxS7JAAAANiQre9YDwwM6He/+51uuukmrVy5Uq+99ppaW1uLXRYAAABs\nyNbB+vDhw5o0aZLKy8vlcrk0e/ZsHTx4sNhlAQAAwIZsHazD4bCCwWDidTAYVCgUKmJFAAAAsCvb\nP2OdTSgUUmdnZ8o0v98vtzv1kHg8nqzryDWv1LhcLkvVm694v9L7Zif0zrronXXRO+uye+9Q2mzd\npUAgoGPHjiVeh0KhxB3svXv3qrm5OWX52tpa1dXVqfeelScmzFukwLo1Hy/gmyDv9+5LvJwyZcqY\n1Y7hqaioKHYJGCF6Z130zrroHTA2bB2sp0+frra2NnV0dMjv92v//v269tprJUk1NTWqrq5OWd7v\n96u9vV3Re9ecmLB9p8LxnyUF1q1J+fCjlT4IWVZWpr6+vmKXYZzb7VZFRcWJvkWjxS5nTNA766J3\n1kXvrMvuvUNps3Wwdjqd+tKXvqQNGzYoFovpggsuSNxlDgaDKc9fx7W2tioSiSReJ/+c/jp9Xilz\nu92Wqne4otGobfeP3lkXvbMuemdddu8dSputg7UkzZw5UzNnzix2GQAAALA5W38rCAAAAFAoBGsA\nAADAAII1AAAAYADBGgAAADCAYA0AAAAYQLAGAAAADCBYAwAAAAbY/nush2Puf25Oee13uVJeD5R5\nVdm49sSLeYs+/vnkvI4Vd495jQAAAChNBOskLdcsGzTyYrKU4LyrRW2rVideJodsAAAAjD88CgIA\nAAAYQLAGAAAADCBYAwAAAAYQrAEAAAADCNYAAACAAQRrAAAAwACCNQAAAGAAwRoAAAAwgGANAAAA\nGMDIiyPkd7m0bFfLxxPmLZKSX59cZsOFcxKvy9ffL2dfL8OfAwAA2BDBeoSSA3Oyysa1iaHOl6UF\nbWdfr9pWrWb4cwAAABviURAAAADAAII1AAAAYADBGgAAADCAYA0AAAAYwIcXk/T29srj8cjtHt1h\n8fl8GX9Ofp0+faw5nc6Cb7MQHA6Huru7jfStVNE766J31kXvrMvOvUPps+dZNUJer1fhcFiRSGTE\n6/BJ6unpSbxO/jk+L32ZQvD5fAXfZiF4PB6Vl5erq6trVH0rZfTOuuidddE767Jz71D6eBQEAAAA\nMIBgDQAAABhAsAYAAAAM4BlrwwbKvB+PrDhvkSob16phTq3Cbs/Hw57nMfw5AAAArIVgbVjHirs/\nfrGrRW2rViu8q0Wb588dtGyu4c8BAABgLTwKAgAAABhAsAYAAAAMIFgDAAAABhCsAQAAAAMI1gAA\nAIABBGsAAADAAII1AAAAYADBGgAAADCAYA0AAAAYQLAGAAAADGBI8zHkd7m0bFeL/C5XxvkDZV5V\nNq498WLeoo9/HsJAmTd16HQAAAAUHcF6DG24cE7O+SnheFeL2latzmu9+QZwAAAAFA6PggAAAAAG\nEKwBAAAAAwjWAAAAgAEEawAAAMAA2354cdu2bdq7d68mTpwoSaqvr9fMmTOLXBUAAADsyrbBWpLm\nz5+viy66qNhlAAAAYBzgURAAAADAAFvfsd69e7deeeUVTZs2TZdddpm8Xm+xSwIAAIBNWTpYNzU1\nqbOzc9D0+vp6ff7zn1dtba0cDodeeOEFPfvss7rqqqsSy4RCoUHv9fv9cruLd0g8Hs+YLCtJLpdr\n2O+xgni/itm3sUbvrIveWRe9sy679w6lzdJdWr58eV7L1dTUaOPGjSnT9u7dq+bm5pRptbW1qqur\nM1bfcAQ9HjVs36mgx6PnrmzIuWyvpClTphSmMIuoqKgodgkYIXpnXfTOuugdMDYsHaxzCYfDCgQC\nkqTXX39dU6dOTZlfU1Oj6urqlGl+v1/t7e2KRqMFqzNu4/y5kqSG7TvV2tqac9mANOQy6crKytTX\n1zfS8kqW2+1WRUVF0fpWCPTOuuidddE767J771DabBusn3vuOb3//vtyOBwqLy/XkiVLUuYHg0EF\ng8FB72ttbVUkEilUmRnls/3h1uh2u4u+X2MpGo3adv/onXXRO+uid9Zl996htNk2WF999dXFLgEA\nAADjCF+3BwAAABhAsAYAAAAMIFgDAAAABhCsAQAAAAMI1gAAAIABBGsAAADAAII1AAAAYADBusT4\nXS4t29Wim3bvybrMQJlXlY1rVb7+/gJWBgAAgFxsO0CMVW24cI4kadmulqzLdKy4W5JU2bi2IDUB\nAABgaNyxBgAAAAwgWAMAAAAGEKwBAAAAAwjWAAAAgAEEawAAAMAAgjUAAABgAMEaAAAAMIBgDQAA\nABhAsAYAAAAMYOTFEhUf2tzvciVGY7xp9x519vd/vNC8RdKuFgWiET21pznjegbKvImRGgEAADB2\nCNYlKtPQ5p39/do8f+6gZZftalHbqtUZ18Ow5wAAAIXBoyAAAACAAQRrAAAAwACCNQAAAGAAwRoA\nAAAwgA8vJunt7ZXH45HbXVqHxefzZfw52zKZ5jmdzpzLWJXD4VB3d3dJ9s0Uemdd9M666J112bl3\nKH32PKtGyOv1KhwOKxKJFLuUFD09PRl/zrZMMt/JeT6fL+syVubxeFReXq6urq6S65sp9M666J11\n0TvrsnPvUPp4FAQAAAAwgGANAAAAGECwBgAAAAzgGesSFx/aPP5zrmUyDn9+ctjz4W4zvh4AAADk\nh2Bd4vIJuLmGP69sXKu2VauH9WGOZcMM4gAAAOBREAAAAMAIgjUAAABgAMEaAAAAMIBgDQAAABhA\nsAYAAAAMIFgDAAAABhCsAQAAAAMI1gAAAIABBGsAAADAAEZetJFMw58PlHlV2bhWMa9PPXf+P8Us\nDwAAwNYI1jaSafjzjhV3S5IqG9cWuhwAAIBxhUdBAAAAAAMI1gAAAIABBGsAAADAAII1AAAAYADB\nGgAAADDA8t8KcuDAAW3btk0ffvihbr/9dk2bNi0xb8eOHdq3b5+cTqcuv/xynXnmmUWsFAAAAHZm\n+TvWp556qq6//nrNmDEjZXpra6sOHDiglStX6oYbbtDTTz+tWCxWpCoBAABgd5YP1pMnT9akSZMG\nTX/jjTc0e/ZsuVwuVVRUaNKkSTp8+HARKgQAAMB4YPlgnU04HFYwGEy8DgQCCoVCRawIAAAAdmaJ\nZ6ybmprU2dk5aHp9fb2qq6tHtM5QKDRonX6/X263JQ7JiHg8njFZtpji/bJz31wul2X6MRz0zrro\nnXXRO+uyc8/sxBJdWr58+bDfk36HOhQKpdzB3rt3r5qbm1PeU1tbq7q6upEXWsJ6fRMUWLdG8k2Q\n93v3Dbn8lClTxr4ogyoqKopdAkaI3lkXvbMuegeMDUsE65Gorq7Wk08+qXnz5ikcDqutrU3Tp09P\nzK+pqRl0t9vv96u9vV3RaLTQ5Y65sm9/R319fQqsW6PW1tYhl89nmVLgdrtVUVFh275JUllZmfr6\n+opdhnH0zrronXXRO+uK9w6lzfLB+vXXX9czzzyj7u5ubdy4UZ/85Cd14403aurUqTrnnHP08MMP\ny+Vy6YorrpDD4Ui8LxgMptzBjmttbVUkEinkLhSE2+1O7Fc++2e1YxCNRi1Xc76Se2dH9M666J11\n0TtgbFg+WM+aNUuzZs3KOG/BggVasGBBgSsCAADAeGTbbwUBAAAAColgDQAAABhAsAYAAAAMIFgD\nAAAABhCsAQAAAAMI1gAAAIABBGsAAADAAIL1ODNQ5lVl41qVr7+/2KUAAADYiuUHiMHwdKy4W5JU\n2bi2yJUAAADYC3esAQAAAAMI1gAAAIABBGsAAADAAII1AAAAYADBGgAAADCAYA0AAAAYQLAGAAAA\nDCBYAwAAAAYQrAEAAAADGHlxnIoPbR7/OT4iIwAAAEaGYD1OJQdphjcHAAAYPR4FAQAAAAwgWAMA\nAAAGEKwBAAAAAwjWAAAAgAF8eDFJb2+vPB6P3G77HRan0ymfz5d1fvq8XMuWEofDoe7ubtv2TRq6\nd1ZF76yL3lkXvbMuh8NR7BKQB3ueVSPk9XoVDocViUSKXYpxPp9PPT09medJg+ZlW7bUeDwelZeX\nq6ury5Z9k3L3zsronXXRO+uid9bl8XiKXQLywKMgAAAAgAEEawAAAMAAgjUAAABgAMEaieHNy9ff\nX+xSAAAALIsPLyIxvDlDmwMAAIwcd6wBAAAAAwjWAAAAgAEEawAAANjWK6+8oh//+MfDes9PfvKT\nEW2LYA0AAADLi8ViGaefd955+uY3vzmsdf3bv/3biGogWAMAAMASmpubddlll+nKK6/U3LlztX//\nftXU1Ojv//7vtXz5coXDYV111VWqq6vT1772NUWjUTU3N+uee+6RJD377LO69NJLdckll+iXv/yl\nJOntt9/WokWLtHDhQt1zzz165JFHdPDgQS1cuFDbtm0bVn18KwgAAAAso6enR88++6wOHjyoe++9\nVx0dHfq7v/s7feYzn9H999+vK664Qt/4xje0du1a/eIXv9Bpp50mh8MhSfr+97+vbdu2yel06tJL\nL9V1112ne++9V//yL/+i888/P7GNn/70p3rxxReHXRt3rAEAAGAZF1xwgSSpurpa7733nioqKvSZ\nz3xGkvSnP/1Jn//85yVJc+bM0Z/+9KfE+1pbW/Xmm29q8eLFqq+vVygUUmtrq959992UUD0a3LEG\nAACAZbz88suSpIMHD+pTn/qU3nvvvcS8mTNnqqWlRRdccIH+8Ic/aObMmYl5kydP1qxZs7Rlyxa5\n3W719/fL5XLptNNO0759+3TBBRcoFovJ4XAk7nAPF3esAQAAYBnBYFBLlizR8uXLtXZt6uB2t912\nm55++mnV1dVp//79uv766xPzHA6HVq9enXie+oYbbpAk/fM//7PuvvtuLVy4UPfee68k6bOf/ayu\nu+467dq1a1i1cccaCfGhzTVv0ZCjMA6UeRMjNgIAABTKrFmztG7dusTr3bt3J34OBoP67W9/m7J8\nX1+fJkyYIElavHixFi9enDL/jDPOGPQ89YYNG0ZUG8EaCYmgvKtFbatW51yW4c8BAECpe+edd/T9\n739fDz74YEG2R7AGAACAJdTW1qq2tjbv5U8//XTt2LFjDCtKxTPWAAAAgAEEawAAAMAAgjUAAABg\ngOWfsT5w4IC2bdumDz/8ULfffrumTZsmSero6NBDDz2kyZMnS5KqqqrU0NBQzFIBAABgY5a/Y33q\nqafq+uuv14wZMwbNq6ys1B133KE77riDUA0AAGATF198sX7wgx9Ikr773e/qd7/7XdZl6+rq1N3d\nXZC6LH/HOn5HGgAAAIXXe89KY+vy3vfwkMv87//+r6qqqrRt2zb9wz/8w5DLj3QUxZGw/B3rXDo6\nOvTII4/oZz/7mQ4dOlTscgAAADBKTzzxhG688UadddZZOnjwYGL6oUOHdNFFF+maa67RnDlztG3b\nNklSLBbTd77zHdXW1uquu+6SJO3fv19f+MIXdPHFFyemmZD3HetVq1bp5ptv1vnnn29s4/lqampS\nZ2fnoOn19fWqrq7O+J5AIKBVq1bJ5/PpyJEj2rRpk1auXKmysjJJUigUGrROv98vt9vyN/Ezcrlc\n8ng8eS+fz7LDWd9YiffLrn2Tht87q6B31kXvrIveWZedezZcW7Zs0a9+9StVVFTo8ccfT7kj/cEH\nH2j79u06duyYlixZopdeekmSdPXVV+v+++/XRRddpHA4rJkzZyaC99KlS/X222/rjDPOGHVteXep\nv79fl112maZMmaKbbrpJN9xwg6qqqkZdQD6WL18+7Pe4XC75fD5J0rRp01RZWamPPvoo8eHGvXv3\nqrm5OeU9tbW1qqurG33BFhf0eNSwfaeCHo+euzLzs+m9kqZMmVLYwnKoqKgodgkYIXpnXfTOuugd\nrOrw4cPav3+/li5dqlgspmPHjunyyy9PzJ89e7bcbrcmTZqk/v7+xPT4jeGqqip1dHSos7NTd999\nt7q7u/WXv/xFR44cKWywfvDBB9XY2KhnnnlGjz76qH7wgx9o7ty5Wr58ua6++mr5/f5RF2NSV1eX\nfD6fnE6n2tra1NbWlnIhqampGXS32+/3q729XdFotNDljrmysjL19fXltezG+XMlSQ3bd6q1tTXj\nMgEp67xCcrvdqqiosG3fpOH1zkronXXRO+uid9YV791498QTT+iBBx7Q1VdfLUlauXKl3njjDc2Z\nM0fSiUc8otGoQqFQyl3++F3tWCymWCymH/3oR/r2t7+thQsX6qqrrlIsFjNS37D+v4LL5VJDQ4Ma\nGhp04MABfe1rX9Mtt9yiFStW6Prrr9d3v/tdTZ8+3Uhh+Xr99df1zDPPqLu7Wxs3btQnP/lJ3Xjj\njTp06JC2bt0ql8slh8OhhoaGxB1sSQoGgwoGg4PW19raqkgkUshdKAi32z2i/cr1nlI6TtFotKTq\nMWmkvbMKemdd9M666B1MyucDh6Y8+eST+tWvfpV4XVdXp69+9au68cYbJZ24I/3Vr35Vf/nLX3Tf\nffdJSv3wYvznJUuW6K677tKsWbOMhWppmME6FArp8ccf13/8x3/o1Vdf1TXXXKP169frtNNO0/33\n368vfvGLevXVV40Vl49Zs2Zp1qxZg6afffbZOvvsswtaCwAAAMZO+mO81157ra699lpJJz68eOqp\np+qxxx5LWebFF19M/Byfd9ppp2n//v3G68s7WF977bV69tlndemll+qOO+7Q0qVLEx8ElKQf/vCH\n+sQnPmG8QAAAAMAK8g7W8+bN00MPPaRPfvKTGec7nU598MEHxgoDAAAA8jVjxoxBd6sLLe9g/e1v\nf3vIZSZMmDCqYgAAAACrsvUAMQAAAEChEKwBAAAAAwjWAAAAgAEEawAAAFjCT37yE9XV1WnhwoWq\nq6vThAkTtGfPnkHL/fznP9f69euzrufWW2/V//zP/xivj4HnAQAAMGJz/3OzsXW1XLMs5/zbb79d\nt99+uyTpqaee0s9//vPEqIulgDvWyMrvcmnZrhYt29Wim3YP/q9BAACAYvjwww/1ne98Rz/+8Y/1\n/PPP6wtf+ILmzp2rdevWDVr2rLPO0g033KALL7xQmzZtSkz/13/9Vy1evDgxPPrRo0e1cOFC1dbW\n6stf/vKIRmQkWCOrDRfO0eb5c7V5/lx19vcXuxwAAABJ0p133qm1a9eqsrJSl1xyibZt26b//u//\n1hNPPKG+vr6UZY8cOaL169dr586dWrduXSIwX3zxxdqyZYvKysq0f/9+VVZW6vnnn1dzc7OmTZuW\nMmJjvngUBAAAAJaxYcMGVVRU6Etf+pIkac+ePfrud7+rSCSiQ4cO6ejRoynLn3766YnRwT/96U/r\nww8/lCRdcMEFkqSqqiq1t7frww8/1J133qn29na99957qqmpGXZt3LEGAACAJbz77rtqbGxUY2Nj\nYtq6dev04x//WFu3btW0adMGPcLxzjvv6NixY+rr69O7776ryZMnS5IcDkdimVgspo0bN2rJkiXa\ntm2bLrvsshE9CsIdawAAAIzYUB84NOmf/umfdOzYMS1ZskSxWEwOh0PLly/X0qVLde655yoYDA56\nz6c//Wndddddev3113XPPffI4XCkhOr4z/X19brpppv029/+Vj6fb0T1EawBAABgCQ8//HDG6bfc\nckvK65tvvjnx84QJE/Tzn/88Zf5Pf/rTxM/JH3h89dVXR1Ufj4IAAADAtpLvTo81gjUAAABsa/fu\n3QXbFsEaAAAAMIBgDQAAABhAsAYAAAAM4FtBkJf48OZ+l0sbLpyjgTKvKhvXJuYPlHnVseLuIlYI\nAABQXARr5GXDhXMkSct2tUjSoBCdHLIBAADGIx4FAQAAAAwgWAMAAAAGEKwBAAAAA3jGOklvb688\nHo/cbvsdFqfTOeJx79NlW4+p9Q+Hw+FQd3e3bfsmme1dKaF31kXvrIveWVchRw/EyNnzrBohr9er\ncDisSCRS7FKM8/l86unpMbKuTOvxZZk+1jwej8rLy9XV1WXLvklme1dK6J110TvronfW5fF4il0C\n8sCjIAAAAIABBGsAAADAAII1AAAAYADBGgAAADCADy9iWOJDmw8yb5GUNj0QjeipPc0Mdw4AAMYF\ngjWGJT60ebrKxrVqW7U65edlu1rUtmo1w50DAIBxgUdBAAAAAAMI1gAAAIABBGsAAADAAII1AAAA\nYADBGgAAADCAYA0AAAAYQLAGAAAADCBYAwAAAAYQrAEAAAADGHkRRgyUeRMjLA6UeSUlDX9+crhz\nv8uVdeRGAAAAqyNYw4iOFXcPmhYP0clDnAMAANgVj4IAAAAABhCsAQAAAAMI1gAAAIABBGsAAADA\nAMt/eHHLli1688035XK5VFlZqauuukpe74lvpdixY4f27dsnp9Opyy+/XGeeeWaRqwUAAIBdWf6O\n9RlnnKEVK1bozjvvVGVlpXbu3ClJOnr0qA4cOKCVK1fqhhtu0NNPP61YLFbkagEAAGBXtgjWTueJ\n3aiqqlIoFJIkHTx4ULNnz5bL5VJFRYUmTZqkw4cPF7NUAAAA2Jjlg3Wyffv2aebMmZKkcDisYDCY\nmBcIBBKhGwAAADDNEs9YNzU1qbOzc9D0+vp6VVdXS5K2b98ul8ulc889N691hkKhQev0+/1yuy1x\nSIbN5XLJ4/EUbfvxbZuuId4vu/ZNKn7vxgq9sy56Z130zrrs3DM7sUSXli9fnnP+vn379NZbb+nm\nm29OTEu/Qx0KhVLuYO/du1fNzc0p66mtrVVdXZ2hqhHX65ugwLo10rxFJ/5N5psg7/fuG/U2Kioq\nRr0OFAe9sy56Z130rnT1/uM9Uk934rX3voeLWA2GyxLBOpe33npLL730km699daU/5qrrq7Wk08+\nqXnz5ikcDqutrU3Tp09PzK+pqUnc7Y7z+/1qb29XNBotWP2FUlZWpr6+vuJs/Fv3nvh3+06F712T\nMiuwbo1aW1tHvGq3262Kigrb9k0qcu/GEL2zLnpnXfSu9AV6ulP+VoZP/o2M9w6lzfLB+plnnlF/\nf7+ampoknfgAY0NDg6ZOnapzzjlHDz/8sFwul6644go5HI7E+4LBYMod7LjW1lZFIpGC1V8obre7\nJPYrUw0m6opGoyWxf2OhVHo3VuidddE766J3pc3q9Y9nlg/Wd911V9Z5CxYs0IIFCwpYDQAAAMYr\nW30rCAAAAFAsBGsAAADAAII1AAAAYADBGgAAADCAYA0AAAAYQLAGAAAADCBYAwAAAAZY/nusYR1+\nl0vLdrUkft5w4ZwRreem3XvU2d8vv8ulTRfPN1kiAAAFUb7+fjn7egdNHyjzFqEamEKwRsEkB+l4\nwB6Jzv5+bZ4/d1TrAACgmJx9vWpbtbrYZcAwHgUBAAAADCBYAwAAAAYQrAEAAAADCNYAAACAAQRr\nAAAAwACCNQAAAGAAwRoAAAAwgGANAAAAGECwBgAAAAwgWAMAAAAGMKQ5isLvcp0YknzeImlXi/wu\nV8qQ55mUr79fzr5ead4iVTauVWBOrRq271QgGtFTe5olSQ1zahV2e0Zc01A15FXfSfFakusbjoEy\nrzpW3D3ieoaqrxDbBDB88XM11/l40+496uzvT7we7fULhZF8HR4o80oa3Mtsnrr0kjGtDWYQrFEU\n8T8AlY39k7rfAAAasUlEQVRr1bZq9YmQPQRnX6/aVq2WdrWobdVqNUnyeDxq2L5T4XvXKBKJKLyr\nRZvnz02sN/3fXPKpIa/6TorXsuxkvcNV2bh2VPWkS6+vENsEMHzxczXX+djZ36/N8+cmXo/2+oXC\nyHQdTu8lrI1HQQAAAAADCNYAAACAAQRrAAAAwACesU7S29srj8cjt9t+h8XpdMrn8xW7jIzideVT\nX/qyDodDklL6lr7MSNY/UunvH862s63PZO8KcQzy5XA41N3dbdtzTirt82406N3Yy+fake16kwu9\nK75MteXbO5Q+e55VI+T1ehUOhxWJRIpdinE+n089PT3FLmMQn5Soa6j6Mi3r8Zz4BpBIJJLoW09P\nT2LZ9H+HMppjlGkb+e5brvWZ6l0+xyDf42SCx+NReXm5urq6bHnOSaV73o0WvRvjbSu/61a2600u\n9K64svU0396h9PEoCAAAAGAAwRoAAAAwgGANAAAAGECwBgAAAAzgw4soqoEy74nRxU4OU55zSPKk\n4c+TBU+OvigpMS++3viQsYntyPyw3YnhaE/WFxevJTF8u7IPOxxfR/L85Jp9I6w71/C5DIEMlJbk\nocyl1GuApJTrYyAaSR2Z8eQ1NJeBMq+6/u7/HXLbJq+POCHb3wlJg/6mwdoI1iiqxAX85LDf6UOS\nSxpyOPLnrmxQa2tryifc0/8wJL82PWx3fDjabHUmh9dsww7H15E8P15z/BPuI6k71/C5DIEMlJb0\n8zX9Oha/Psa1Lbjk45knr6G55LqG5DOMOkZuqL8TsA8eBQEAAAAMIFgDAAAABhCsAQAAAAMI1gAA\nAIABBGsAAADAAII1AAAAYADBGgAAADCAYA0AAAAYQLAGAAAADGDkRZSE+LDf6UOSx382KXm4844V\nd3887PfJIYHzGdI3eajw5PcNJXk/N1w4J2V48eT5GWUZCnfDhXMGDUecPjRyPrUAKLzka0m28zX9\nOpFJtmtLfF6mczx5mcT1JcN1Jtc6xlJKfUMIRCN6ak+zpI+Hfk+elq/4NTTT8RvJsO+Z/r7A3gjW\nKAnpF+x8L1ojEV93PLgnhhE+OSRwPkP6pgw9nMdQwnHx/YyH5/gwt+nzkyUPaZ6+nfh60ocjzjSU\n+VC1ACi8fM7V9OtEJrmuLdnO8eRl0q8v6a+LcZ3IZ7/jdS5Lug7Hh35fNoxrc/L60red7Tqbj/S/\nL7A/HgUBAAAADCBYAwAAAAYQrAEAAAADCNYAAACAAZb/8OKWLVv05ptvyuVyqbKyUldddZW8Xq86\nOjr00EMPafLkyZKkqqoqNTQ0FLlaAAAA2JXlg/UZZ5yhRYsWyel06rnnntPOnTu1aNEiSVJlZaXu\nuOOOIlcIAACA8cDyj4KcccYZcjpP7EZVVZVCoVCRKwIAAMB4ZPk71sn27dun2bNnJ153dHTokUce\nkdfrVV1dnWbMmFHE6gAAAGBnlgjWTU1N6uzsHDS9vr5e1dXVkqTt27fL5XLpb//2byVJgUBAq1at\nks/n05EjR7Rp0yatXLlSZWVlkqRQKDRonX6/X263JQ7JsLlcLnk8nmKXYVy8XyPtW/yYZPs3n/fm\nu/xQ284muXeZlh3JPqTPG+2+jMRoe2cFnHfWVcjeDfd6k++ymc7r9N7lOveHel0Iwzk2mfbF1LV5\nJH8jTNSSzM7nm504YrFYrNhFjNa+ffv0xz/+UTfffHPWX7yf/exnWrx4saZNmyZJ2rp1q5qbU4c6\nra2tVV1d3ZjXi9LQ+4/3SD3dkm+CvN+7T//nN08pFIlkXDbo8ei5KxsyLhOfNxzx9Qznven1Jq9n\nONK3aWqfAJyQ6fweybkaN5zzcTjbThnyO+m6Ig2+3sz9z81quWbZiOofSvq24q9r5y1S838/n/vN\nGa7fua7XyfNz1ZK87fgQ6dlkWl8hjx9Ki+X/8+ett97SSy+9pFtvvTUlVHd1dcnn88npdKqtrU1t\nbW2qqKhIzK+pqUnc7Y7z+/1qb29XNBotWP2FUlZWpr6+vmKXYZzb7VZFRcXI+vatexM/hltbtfHk\n8LWBdWsUvndNyqIN23eqtbVVoUhET116yaBlWltbh7XpjUnD9A713kTvTtYbWLcm8Z5cNeeSvM3k\nWuLrie/vWBpV7yyC8866RtO7+HUi+TyKT4sbzTmbS6ZrS/J1ouf//kC+/+8f1PN/f6BoNKrwwo9v\nJoWTt5HhejNW14RAT7fC965JbCv+Wtt35nWMkq/f0onetaZNS5bz+hb/u5C07V9kqzvH9TKxD/r4\nuI72+MXPO5Q2ywfrZ555Rv39/WpqapL08dfqHTp0SFu3bpXL5ZLD4VBDQ4N8Pl/ifcFgUMFgcND6\nWltbFRnhXYVS5na7bblfcdFo1Oj+ZVpXfFr6v2MtU+9y1Tdahd4/070rJZx31jXa3mU6j/I5j8da\n/D+EhtO7QlwTsl1fR7LNfHqXz3qHs0w+12S7nitIZflgfdddd2WcfvbZZ+vss88ucDUAAAAYryz/\ndXsAAABAKSBYAwAAAAYQrAEAAAADCNYAAACAAQRrAAAAwACCNQAAAGAAwRoAAAAwwPLfYw2YNlDm\nVWXj2sTPHSvult/l0rJdLfK7XEWuLrW+5GlG1z1vkSob1yb2Hxhvrt2+U51Jo0r6XS5tuHBOzveU\nr79fzr7exPkTmFOrZbtaJJ0YPjz5vDV1zg7HQJlXgXVrJN+EYb0n+ZqQPm+k14fEsdLHxyK+rbE+\nNvHrefznDRfO0U2796izvz9lmaFkOjaJ4c/nLZJObiPf9cEeCNZAmuQ/FPGL5VB/UAtpLINuYt27\nWtS2avWgP6TAeNEZjWpz0pDYy5JCUjbOvl61rVqdOH+a0ua3Lbgk4/sKpWPF3fJ4PJoyZUrq8OVD\nvEdSYp+Sjeb6kDhWmbY1xpKv5/G+dvb3p/Q7H5mOTXhXy7DXA3vhURAAAADAAII1AAAAYADBGgAA\nADCAYA0AAAAYQLAGAAAADCBYAwAAAAYQrAEAAAADCNYAAACAAQRrAAAAwABGXgRyyDR8eHy6nSWG\n/M0wLG981LJMQwCX0giVI5E8zHKy8Ta0e3Jvh9PX+PHLdbyyHeORMtmblNrSh/DOMKR3XPow1nYc\nvjrTMODZro+ZxPuU/DtSCuL7NZqepR8bjG8EayCH8RSmksWDVGXj2pRhh5OHdU4fAjifIZ9LXaZh\nlqXRDd1sRcm9HU5f48cv1/HKdoxHymRvUmpLH8I7w5DeceNhGOtMw4AP5/oY75Pp/o+WiZsBVr+h\nALN4FAQAAAAwgGANAAAAGECwBgAAAAwgWAMAAAAG8OHFJL29vfJ4PHK77XdYnE6nfD5fscswzuFw\nqLu727Z9k4rfu/RtJ7/ONW8opdq7bPswkh4Uu3ejkavPuXoXXzbXfps+JibXN9Lfb6v02dR5N5L9\nzed3w8R2rHze5eJwOIpdAvJQOn/NSoDX61U4HFYkEil2Kcb5fD719PQUuwzjPB6PysvL1dXVZcu+\nScXtnU8atO3k17nmDaUUe5dpf3NNH3J9Fj7vcvU5W+/ixynX8RrpsczG5PrS1zWc32+r9NnUeTfc\n/c3nd8PEdiRrn3e5eDyeYpeAPPAoCAAAAGAAwRoAAAAwgGANAAAAGMAz1gCyig9ZHB+OONPQvYlh\noPMY8jkQjeipPc2J6b2SAjm2PdTIbvGht3MNu52+TKb3JIbwzjGE+1DSh3jPpNSHfU8+NnHJQz5n\nqj1lv+PHL+04pshyjHP2JZdc28oifV8y9d+f9sG+TMch0/EaD5KvA3nL53cjw3YAqyFYA8gqHmzj\ngTlTsEoMUZzHkM/LkpbxeDyaMmWKWltbM36IKp+hquNDb+f6I5++TKb3xKflGsI931qSpX+IqtSH\nfc+0D/GeZ6s9+T3pxy/9daZp+fQlH5m2lU36vmTqf3rvMh2H4dRnJ6X8H4dAsfEoCAAAAGAAwRoA\nAAAwgGANAAAAGECwBgAAAAwgWAMAAAAGEKwBAAAAAwjWAAAAgAEEawAAAMAAgjUAAABgAMEaAAAA\nMIAhzQEMaaDMm3WI8YEyryTJ73JlHfba73KlLON3ubTp4vkZl71p9x519vdL8xZJSevzu1yJoZTj\ny6SvN99tp78nPi3Te5ftahlUS67tSFL5+vvl7OuVJPmSF5q3aNBxHCjzJoaONyFx/DLUt+HCOSm1\nxbedmJahvrjAnFot29WiQDSip/Y0a9GcWoXdHgWikcR74r8LyfuWaX/T6xpuXzKJb2s4xzN9v9Nr\ny2Sk9QEYHwjWAIaUT1CJh958lskWgiWps79fm+fPVWXjWrWtWp2Ynvye+DIj2fZI3pNey1Ccfb1q\nW7VaPp9PPT09H8/Y1TJoPdmC7EilH5u4+PGL15a87cS0DPXFNSWtJ3zvGoW379RTl16iSCSitgWX\nZHzPSH5v8ulLrm0N53jms9/pRlofgPGBR0EAAAAAAwjWAAAAgAEEawAAAMAAgjUAAABggOU/vPji\niy/q4MGDcjgcmjhxopYuXapAICBJ2rFjh/bt2yen06nLL79cZ555ZpGrBQAAgF1Z/o71xRdfrDvv\nvFN33HGHPvvZz6q5uVmSdPToUR04cEArV67UDTfcoKefflqxWKzI1QIAAMCuLB+sy8rKEj8fP35c\nDodDknTw4EHNnj1bLpdLFRUVmjRpkg4fPlysMgEAAGBzln8URJJeeOEFvfLKK/J6vbrlllskSeFw\nWFVVVYllAoGAQqFQkSoEAACA3VkiWDc1Namzs3PQ9Pr6elVXV6u+vl719fXauXOnWlpaVFdXN+Q6\nQ6HQoHX6/X653ZY4JMPmcrnk8XiKXYZx8X7ZtW/S+OxdfH/T9zv59Vgdk2zrHe72PB5Pxt5lWo/p\nfRlqHzIdx2zHPJNSP+/y2Yeh9ns8nnd2YffeobRZokvLly/Pa7lzzz1Xjz76qOrq6gbdoQ6FQgoG\ng4nXe/fuTTyPHVdbW5tXKEfpqaioKHYJGIagx6PLX9ymoMej565skCT9n988pVAkoqDHoylTpqjX\nN0GBdWsS7wnMqVXD9p0nfo5GUuYZ45ugKVOmDJqcXstI1xP0eBL7kDBvkbR9Z2Ko8OR1eL9334nt\n/+M9Uk931s01nBxeXMpwbE6uJ7Htk9tL3nb83/ixzyW5d6V43iV6dXK/U45dlmORz37bTSn2DrAD\nR8zin+j76KOPNGnSJElSS0uLDh06pC9/+cs6evSonnzySd12220Kh8NqamrSXXfdlXgGO9sd6/7+\nfkWj0YLvx1grKytTX19fscswzu12q6KiQu3t7bbsm2Tv3l3+4jb9fuEXFI1G1XByiGw7GU7v0vc/\nsG6NwveuGfRzPu9Nlv7eodaVDyucd/H9zHUccx0LO593pd670bJ771DaLHHHOpfnn39eH330kRwO\nh8rLy9XQcOLu19SpU3XOOefo4Ycflsvl0hVXXJEI1ZIUDAZT7mDHtba2KhKJFKz+QnG73bbcr7ho\nNGrb/RtPvbPbfg63d+nLJr8eaj255uda72iU+nmX6fcq32Mxns47u7F771DaLB+sv/KVr2Sdt2DB\nAi1YsKCA1QAAAGC8svzX7QEAAAClgGANAAAAGECwBgAAAAwgWAMAAAAGEKwBAAAAAwjWAAAAgAEE\nawAAAMAAy3+PNQDrSh7i2+9yFbma4vK7XFq2q0V+l0sbLpyjgTKvKhvXSpIGyrySpJt271Fnf39i\nmeTX2SSvJ3lddhff7+T9Ha/HAkDhEKwBFM1zVzbYdrTT4dpw4RxJ0rJdLZKkjhV3D1qms79fm+fP\nTSwTf51LpvWMB5n2e7weCwCFw6MgAAAAgAEEawAAAMAAgjUAAABgAMEaAAAAMIBgDQAAABhAsAYA\nAAAMIFgDAAAABhCsAQAAAAMI1gAAAIABjLwIACUkPrR5tnnJy4z3YeABoNQQrAGghMSHNh/tMgCA\nwuNREAAAAMAAgjUAAABgAMEaAAAAMIBgDQAAABjgiMVisWIXUSp6e3vV29srOx4Sp9OpgYGBYpdh\nnMPh0CmnnKLjx4/bsm8SvbMyemdd9M667Ny78vLyYpeBIfCtIEm8Xq/C4bAikUixSzHO5/Opp6en\n2GUY5/F4VF5erq6uLlv2TaJ3VkbvrIveWZede4fSx6MgAAAAgAEEawAAAMAAgjUAAABgAMEaAAAA\nMIBgDQAAABhAsAYAAAAMIFgDAAAABhCsAQAAAAMI1gAAAIABBGsAAADAAII1AAAAYADBGgAAADCA\nYA0AAAAYQLAGAAAADCBYAwAAAAYQrAEAAAADCNYAAACAAQRrAAAAwACCNQAAAGAAwRoAAAAwgGAN\nAAAAGOAudgGj9eKLL+rgwYNyOByaOHGili5dqkAgoI6ODj300EOaPHmyJKmqqkoNDQ1FrhYAAAB2\nZflgffHFF2vhwoWSpJaWFjU3NycCdGVlpe64445ilgcAAIBxwvKPgpSVlSV+Pn78uBwORxGrAQAA\nwHhl+TvWkvTCCy/olVdekdfr1S233JKY3tHRoUceeURer1d1dXWaMWNG8YoEAACArTlisVis2EUM\npampSZ2dnYOm19fXq7q6OvF6586dikQiqqurUzQaVSQSkc/n05EjR7Rp0yatXLkycYc7FAoNWqff\n71d/f7+i0ejY7lARlJWVqa+vr9hlGOd2u1VRUaH29nZb9k2id1ZG76yL3lmX3XuH0maJYJ2vY8eO\n6dFHH9WKFSsGzfvZz36mxYsXa9q0aZKkrVu3qrm5OWWZGTNm6JprrlEwGCxIvRi9UCikvXv3qqam\nhr5ZDL2zLnpnXfTOuuidNVj+UZCPPvpIkyZNkiS98cYbiW8B6erqks/nk9PpVFtbm9ra2lL+S6+m\npiblbndra6s2b96szs5OfmEtpLOzU83NzaqurqZvFkPvrIveWRe9sy56Zw2WD9bPP/+8PvroIzkc\nDpWXlye+EeTQoUPaunWrXC6XHA6HGhoa5PP5Eu8LBoP8YgIAAMAYywfrr3zlKxmnn3322Tr77LML\nXA0AAADGK8t/3R4AAABQClxr1qxZU+wiSkEsFtMpp5yi008/PeW7sVHa6Jt10TvronfWRe+si95Z\ng+UfBTHhrbfe0u9//3vFYjF5PB5dcsklxS4JOTQ2Nsrr9crhcMjpdOob3/iGenp61NTUpGPHjqm8\nvFzXXXedvF5vsUsd937961/rzTff1MSJExPf1tPT06PHH3880av58+cnlt+xY4f27dsnp9Opyy+/\nXGeeeWaxSh/3MvVu27Zt2rt3ryZOnChJqqqqSnxWhd6VhmPHjmnz5s3q6uqSw+HQ5z73Oc2bN4/z\nzgLSe1dTU6O5c+dy3llNbJzr7++PPfDAA7H29vZYNBqNrV+/Pnb06NFil4UcGhsbY93d3SnTtmzZ\nEtuxY0csFovFduzYEduyZUsxSkOad955J3bkyJHYww8/nJiWrVcffPBB7Ec/+lEsGo3G2traYg88\n8EBsYGCgKHUjc++2bt0a+6//+q9Byx49epTelYhQKBQ7cuRILBaLxXp7e2MPPvhg7OjRo5x3FpCt\nd5x31jLun7E+fPiwJk2apPLycrlcLs2ePVsHDx4sdlkYQizt69ffeOMNnX/++ZKk8847T2+88UYx\nykKaGTNmpHwbj5S9VwcPHtTs2bPlcrlUUVGhSZMm6fDhwwWvGSdk6l02b7zxBr0rEYFAQJ/61Kck\nnRgoZfLkyQqFQpx3FpCpd+FwOOvynHeladw/ChIOh1O+di8YDPKLaQFNTU1yOp2qqalRTU2Nurq6\n5Pf7JZ24OHV1dRW5QmSTrVfhcFhVVVWJ5QKBgEKhUFFqRHa7d+/WK6+8omnTpumyyy6T1+uldyWq\nvb1d77//vqqqqjjvLCbeu+nTp+uvf/0r552FjPtgDev5+te/nvjDsGHDhsSgQMkcDkcRKsNI0Cvr\n+PznP6/a2lo5HA698MILevbZZ3XVVVcVuyxk0NfXp8cee0xf/OIXM37QjfOudKX3jvPOWsb9oyCB\nQEDHjh1LvA6FQgwcU+ICgYAkaeLEiTrrrLN0+PBh+f1+dXZ2SjpxByb+IQ+Unmy9Sr/bwrlYeiZO\nnJgIZDU1NYn/u0fvSkt/f78ee+wxnXfeeTrrrLMkcd5ZRabecd5Zy7gP1tOnT1dbW5s6OjoUjUa1\nf//+lKHOUVqOHz+uvr6+xM9vv/22pk6dqurqar388suSpFdeeYUelpD05+Gz9aq6ulr79+9XNBpV\ne3u72traNH369ILXi4+l9y75ec/XX39dU6dOlUTvSs2vf/1rTZkyRfPmzUtM47yzhky947yzFkcs\n/co5DiV/3d4FF1ygBQsWFLskZNHe3q5NmzbJ4XBoYGBA5557rhYsWKDu7m49/vjjCoVC+sQnPqHr\nrrsu7w9eYew88cQTeuedd9TT06OJEyeqrq5OZ511lh577LGMvdqxY4f++Mc/yuVy8dVRRZapd3/5\ny1/0/vvvy+FwqLy8XEuWLEk8t0vvSsNf//pX/fu//7umTp2auMtZX1+v6dOnZ71G0rvSkK13r732\nGuedhRCsAQAAAAPG/aMgAAAAgAkEawAAAMAAgjUAAABgAMEaAAAAMIBgDQAAABhAsAYAAAAMIFgD\nAAAABhCsAQAAAAMI1gAAAIABBGsAAADAAII1AAAAYADBGgAAADCAYA0AAAAYQLAGAAAADCBYAwAA\nAAYQrAEAAAADCNYAAACAAQRrAAAAwACCNQAAAGAAwRoAAAAwgGANAAAAGECwBgCL+POf/6xJkybp\n5ZdfliQdOXJEU6dO1fbt24tcGQBAIlgDgGX8zd/8jdatW6cbb7xRPT09uvXWW3Xrrbfq0ksvLXZp\nAABJjlgsFit2EQCA/C1dulR//vOf5XQ69Yc//EEej6fYJQEAxB1rALCc2267TQcOHNC3vvUtQjUA\nlBDuWAOAhXR1dem8887TwoUL9cwzz+i1115TeXl5scsCAIhgDQCW8vWvf109PT3auHGjvvnNb6qj\no0O//OUvi10WAEA8CgIAlvGb3/xGW7Zs0fr16yVJP/zhD7Vv3z794he/KHJlAACJO9YAAACAEdyx\nBgAAAAwgWAMAAAAGEKwBAAAAAwjWAAAAgAEEawAAAMAAgjUAAABgAMEaAAAAMIBgDQAAABhAsAYA\nAAAM+P8B7bzQCot3730AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x119dbe810>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (295523493)>"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ggplot(random_walk, aes(x='x', y='y', color='project')) + geom_step()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtYAAAIACAYAAACmdyv0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nbATBdMiTAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b9b0150>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<ggplot: (297382089)>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ggplot(random_walk, aes(x='x', y='y', color='project')) + geom_step(size=5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
